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Finding the Third Proportional to 38,946 and 60,143

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Solution

The third proportional to 38,946 and 60,143 is: 92,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,946 : 60,143 = 60,143 : x
  2. Step 2: Convert to fraction form
    38,946/60,143 = 60,143/x
  3. Step 3: Cross multiply
    38,946x = 60,143 × 60,143
  4. Step 4: Simplify right side
    38,946x = 3,617,180,449
  5. Step 5: Solve for x
    x = 3,617,180,449/38,946
  6. Step 6: Final answer
    x = 92,876.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.